Text: Introduction to Analysis (5th ed.), by Edward Gaughan,
American Math Society, 1998
ISBN 139780534351779
Week | Lecture dates | Sections | topics |
---|---|---|---|
1 | 9/2 (T), 4 (Th) | Chapter 0 | Functions, real numbers, countable sets |
2 | 9/8 (M), 11 | Chapter 1 | Sequences and their properties |
3 | 9/15, 18 | Chapter 1 | Monotone sequences and limits |
4 | 9/22, 25 | Chapter 2 | Limits of functions and sequences |
5 | 9/29, 10/2 | Chapter 2 | Limits of monotone functions |
6 | 10/6, 10/9 | Chapter 3 | Continuity of a function |
7 | 10/13, 16 | Chapters 1–3 | Review and Exam 1 |
8 | 10/20, 23 | Chapter 3 | Uniform continuity and compact sets |
9 | 10/27, 30 | Chapter 3 | Continuous functions on [a,b] |
10 | 11/3, 6 | Chapter 4 | Derivatives, Mean Value Theorem |
11 | 11/10, 13 | Chapter 6 | Convergence, Absolute convergence |
12 | 11/17, 11/20 | Chapter 6 | Root/ratio tests, Conditional convergence |
13 | 11/24 (M), 25 (T) | Ch. 3, 4, 6 | Review and Exam 2, power series |
14 | 12/1, 4 | Chapters 6,7 | Power series, pointwise and uniform convergence |
15 | 12/8, 9 | 7.1-7.2 | Catch up and review |
17 | December 16 (Tuesday) | 12-3 PM | Final Exam |
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